Mathematical Modeling of Wear of Cutter on Back Edge by Taking into Account Beating and Kinematic Perturbations

  • V. L. Zakovorotny
  • V. E. GvindjiliyaEmail author
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


The study of the wear of the cutter on the back edge with the turning process by taking into account the beating and the kinematic perturbations on the basis of mathematical simulation or mathematical modeling of the wear is provided. The basis of the wear modeling assumes the concept of its link between the work and power of the irreversible transformation in the contact area of the tool back edge and detail. For this purpose, the Voltaire integral operator of the second kind regarding the phase trajectory of the power of the irreversible transformation to the implemented work is used. The trajectory of the power to the work is determined on the basis of the performed model and depends on the structure and the parameters of the dynamic model of the cutting system as well as the beats and the kinematical perturbations. The example of the dependence wear on the beats parameters is presented.


Dynamic cutting system Beats of spindle Kinematic perturbations Wear rate Voltaire operator 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Don State Technical UniversityRostov-on-DonRussia

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